On fibre bundle structures of Stiefel manifolds related to the octonions

DOI10.1016/J.TOPOL.2015.05.025zbMath1342.53074OpenAlexW645012964MaRDI QIDQ897432

Misa Ohashi, Hideya Hashimoto

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.025

zbMATH Keywords

octonionsStiefel manifolds\(\mathrm{Spin}(7)\)-orbits decomposition\(G_2\)-orbits decomposition

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

\(G_{2}\) and \(\mathrm{SO}(4)\)-invariants for curves in 4-dimensional Euclidean space included in purely imaginary octonions

Cites Work

• Orthogonal almost complex structures of hypersurfaces of purely imaginary octonions
• Calibrated geometries
• REALIZATIONS OF SUBGROUPS OF G₂, Spin(7) AND THEIR APPLICATIONS

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